\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.14.3 - The Heat Method
Heat_method_3/heat_method_polyhedron.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/Heat_method_3/Surface_mesh_geodesic_distances_3.h>
#include <fstream>
#include <iostream>
#include <boost/unordered_map.hpp>
#include <boost/foreach.hpp>
typedef Kernel::Point_3 Point_3;
typedef CGAL::Polyhedron_3<Kernel> Triangle_mesh;
typedef boost::graph_traits<Triangle_mesh>::vertex_descriptor vertex_descriptor;
int main(int argc, char* argv[])
{
Triangle_mesh tm;
const char* filename = (argc > 1) ? argv[1] : "./data/elephant.off";
std::ifstream input(filename);
if (!input || !(input >> tm) || tm.is_empty()) {
std::cerr << "Not a valid off file." << std::endl;
return 1;
}
// map for the distance values to the source set
boost::unordered_map<vertex_descriptor, double> vertex_distance;
vertex_descriptor source = *(vertices(tm).first);
boost::make_assoc_property_map(vertex_distance),
source) ;
std::cout << "Source vertex at: " << source->point() << std::endl;
BOOST_FOREACH(vertex_descriptor vd , vertices(tm)){
std::cout << vd->point() << " is at distance " << vertex_distance[vd] << std::endl;
}
return 0;
}